7x-y=20;21x+2y=65

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2x+y=8
x+3y=14

Solution for 7x-y=20;21x+2y=65 system of equations: 


  • /| 7*x-y-20 = 0| 21*x+2*y-65 = 0
  • We try to solve the equation: 7*x-y-20 = 0
  • 7*x-y-20 = 0 // - 7*x-20
  • -y = -(7*x-20) // * -1
  • y = 7*x-20
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 2*(7*x-20)+21*x-65 = 0| y = 7*x-20
  • 2*(7*x-20)+21*x-65 = 0
  • 35*x-65-40 = 0
  • 35*x-105 = 0
  • 35*x-105 = 0 // + 105
  • 35*x = 105 // : 35
  • x = 105/35
  • x = 3
  • We insert the solution into one of the initial equations of our system of equations
  • For y = 7*x-20: 
  • y = 3*7-20
  • y = 21-20
  • y = 1
  • We get a system of equations:
  • /| y = 1| x = 3

 

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